海森堡群中某些关键方程的全解

IF 1 Q1 MATHEMATICS

Opuscula Mathematica Pub Date : 2022-01-01 DOI:10.7494/opmath.2022.42.2.279

P. Pucci, Letizia Temperini

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引用次数: 5

摘要

我们完成了论文中开始的研究[P。Pucci, L.Temperini，关于Folland-Stein空间和分数水平Sobolev空间的集中紧性原理，数学。工程5(2023)，论文编号:007]，给出了其抽象结果的一些应用，得到了某些临界方程在整个Heinseberg群中解的存在性。特别地，给出了临界水平\(p\) -拉普拉斯方程存在的不同条件。

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Entire solutions for some critical equations in the Heisenberg group

We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no. 007], giving some applications of its abstract results to get existence of solutions of certain critical equations in the entire Heinseberg group. In particular, different conditions for existence are given for critical horizontal \(p\)-Laplacian equations.

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来源期刊

Opuscula Mathematica MATHEMATICS-

CiteScore

1.70

自引率

20.00%

发文量

审稿时长

22 weeks